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Finding the Fourth Proportional to 149,020.81, 205,640.40 and 85,362.71

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Solution

The fourth proportional to 149,020.81, 205,640.40 and 85,362.71 is: 117,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.81 : 205,640.40 = 85,362.71 : x
  2. Step 2: Convert to fraction form
    149,020.81/205,640.40 = 85,362.71/x
  3. Step 3: Cross multiply
    149,020.81x = 205,640.40 × 85,362.71
  4. Step 4: Simplify right side
    149,020.81x = 17,554,021,121.39
  5. Step 5: Solve for x
    x = 17,554,021,121.39/149,020.81
  6. Step 6: Final answer
    x = 117,795.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.